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satela [25.4K]
3 years ago
10

write an equation in slop-intercept form for a line that is perpendicular to the line y= -5x-3 and has a y-intercept of 6.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

The equation of the line would be y = 1/5x + 6

Step-by-step explanation:

First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.

Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/5x + 6

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Write x squared + 2x-8 in the form (x + m) squared + n where m and n are integers.
skelet666 [1.2K]
Let F(x) = x^2 + 2x -8

Adding 1 and - 1 at equation

F(x) = x^2 + 2x + 1 - 1 -8

Rewrinting the first 1 = 1^2

F(x) = x^2 + 2x + 1^2 - 1 - 8

Now look:

x^2 + 2x + 1^2 = ( x + 1)^2

Then,

F(x) = (x + 1)^2 -1 -8

F(x) = (x + 1)^2 -9

This is the answer !

If us to want.

(x + 1)^2 -9 = ( x+1)^2 - 3^2

= ( x+ 1 -3).(x +1 +3)

= ( x - 2).(x +4)

7 0
4 years ago
You roll two number cubes and the sum of the numbers is 10
OlgaM077 [116]

Answer:

there are 3 ways that it can be 10:

6,4

5,5

4,6

7 0
3 years ago
Read 2 more answers
The length of a flea is approximately one million times longer than the width of DNA. Which is a reasonable measure for the widt
scZoUnD [109]

Answer:

The answer is A

Step-by-step explanation:

That is because one million has 6 digits and I'm guessing that the flea is measured in millimeters. So you just add the two decimal places. So, you add the one million (count the number of zeroes in a million) to the number of decimal places that the dot was moved. So from a measure of meter you move the dot one place right and you decrease the measuring unit. So, first is meter then centimeter and then millimeter.

5 0
3 years ago
What is the lcm of 6 and 12
ira [324]

Answer:

12

Step-by-step explanation: it is 12 because LCM is least common mulitiple. The LCM is the smallest number of all the number that can DIVIDE EVENLY. 6 cannot divide evenly.


3 0
4 years ago
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Find the coordinate A if M (-5,-9) is the midpoint of AB and B has coordinate of (3,-5)
rodikova [14]

The coordinates of Point A are (-13,-13)

Step-by-step explanation:

The formula for mid-point of two points (x1,y1) and (x2y2) is given by:

M = (\frac{x_1+x_2}{2} , \frac{y_1,y_2}{2})

Given

M = (-5,-9)

B(x2,y2) = (3,-5)

Putting the values

(-5,-9) = (\frac{x_1+3}{2} , \frac{y_1-5}{2})

Comparing respective elements

\frac{x_1+3}{2} = -5\\x_1+3 = -5 * 2\\x_1+ 3 = -10\\x_1 = -10-3\\x_1 = -13\\AND\\\frac{y_1-5}{2} = -9\\y_1-5 = -9 * 2\\y_1-5 = -18\\y_1 = -18+5\\y_1 = -13

Hence,

The coordinates of Point A are (-13,-13)

Keywords: Coordinate geometry, mid-point

Learn more about mid-point at:

  • brainly.com/question/5723059
  • brainly.com/question/5639299

#LearnwithBrainly

4 0
4 years ago
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